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42037182 = 23211297321
BaseRepresentation
bin1010000001011…
…0111110111110
32221002201011200
42200112332332
541230142212
64101000330
71020211245
oct240267676
987081150
1042037182
1121802180
12120b30a6
13892ab95
14582395c
153a556dc
hex2816fbe

42037182 has 48 divisors (see below), whose sum is σ = 102800880. Its totient is φ = 12297600.

The previous prime is 42037157. The next prime is 42037189. The reversal of 42037182 is 28173024.

It is a super-2 number, since 2×420371822 = 3534249341002248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42037189) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2082 + ... + 9402.

It is an arithmetic number, because the mean of its divisors is an integer number (2141685).

Almost surely, 242037182 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42037182, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51400440).

42037182 is an abundant number, since it is smaller than the sum of its proper divisors (60763698).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42037182 is a wasteful number, since it uses less digits than its factorization.

42037182 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7369 (or 7366 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 42037182 is about 6483.6087173734. The cubic root of 42037182 is about 347.7052101249.

The spelling of 42037182 in words is "forty-two million, thirty-seven thousand, one hundred eighty-two".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 99 174 198 261 319 522 638 957 1914 2871 5742 7321 14642 21963 43926 65889 80531 131778 161062 212309 241593 424618 483186 636927 724779 1273854 1449558 1910781 2335399 3821562 4670798 7006197 14012394 21018591 42037182